SBI Clerk - Partnership, Mixture and Alligation, Mensuration, Probability, Permutation and Combination Online Test (MCQ Quiz)

1. A and B enter into a partnership. A invests Rs. 50,000 for 4 months and B invests Rs. 60,000 for 6 months. If the total profit is Rs. 44,000, what is A's share?

A) Rs. 16,000 B) Rs. 20,000 C) Rs. 24,000 D) Rs. 28,000

2. Three friends, Ram, Shyam, and Mohan, start a business. Ram invests Rs. 20,000 for 12 months, Shyam invests Rs. 30,000 for 8 months, and Mohan invests Rs. 40,000 for 6 months. If the total profit is Rs. 63,000, what is Shyam's share?

A) Rs. 18,000 B) Rs. 21,000 C) Rs. 24,000 D) Rs. 27,000

3. A and B start a business with initial investments of Rs. 75,000 and Rs. 90,000 respectively. After 8 months, A withdraws half of his investment. If the total profit at the end of the year is Rs. 52,000, what is B's share?

A) Rs. 24,000 B) Rs. 26,000 C) Rs. 28,000 D) Rs. 30,000

4. P, Q, and R enter into a partnership. P invests Rs. 40,000 and Q invests Rs. 50,000. After 6 months, R joins with Rs. 60,000. If the profit at the end of the year is Rs. 72,000, and P and Q invested for the entire year, what is R's share?

A) Rs. 18,000 B) Rs. 21,000 C) Rs. 24,000 D) Rs. 27,000

5. A and B invest in a business. A invests Rs. 30,000 for 10 months and B invests Rs. 40,000 for 8 months. If C joins them with Rs. 50,000 for 6 months, and the total profit is Rs. 86,000, what is A's share?

A) Rs. 20,000 B) Rs. 25,000 C) Rs. 30,000 D) Rs. 35,000

6. In what ratio should 25% alcohol solution be mixed with 50% alcohol solution so that the resulting mixture has 40% alcohol?

A) 1:2 B) 2:1 C) 1:3 D) 3:1

7. A shopkeeper mixes two types of rice, one costing Rs. 40 per kg and another costing Rs. 55 per kg. In what ratio should he mix them to get a mixture costing Rs. 48 per kg?

A) 5:3 B) 3:5 C) 7:4 D) 4:7

8. 10 liters of a mixture contains milk and water in the ratio 3:2. How much pure milk should be added to the mixture so that the ratio of milk to water becomes 2:1?

A) 1 liter B) 2 liters C) 3 liters D) 4 liters

9. In what ratio should tea at Rs. 60 per kg be mixed with tea at Rs. 80 per kg so that by selling the mixture at Rs. 84 per kg, there is a profit of 20%?

A) 1:2 B) 2:1 C) 1:3 D) 3:1

10. A vessel contains a mixture of milk and water in the ratio 5:3. If 8 liters of the mixture are removed and replaced with pure milk, the ratio becomes 3:1. What was the initial quantity of the mixture?

A) 32 liters B) 36 liters C) 40 liters D) 48 liters

11. The radius of a circle is 7 cm. What is its circumference?

A) 44 cm B) 88 cm C) 154 cm D) 616 cm

12. What is the area of a circle with a diameter of 14 cm?

A) 44 sq cm B) 88 sq cm C) 154 sq cm D) 616 sq cm

13. A rectangle has a length of 12 cm and a width of 8 cm. What is its perimeter?

A) 20 cm B) 40 cm C) 96 sq cm D) 192 sq cm

14. What is the area of a rectangle with a length of 15 cm and a width of 10 cm?

A) 25 sq cm B) 50 sq cm C) 150 sq cm D) 250 sq cm

15. A square has a side length of 9 meters. What is its area?

A) 18 sq m B) 36 sq m C) 81 sq m D) 162 sq m

16. The perimeter of a square is 36 cm. What is the length of its side?

A) 6 cm B) 9 cm C) 18 cm D) 36 cm

17. What is the volume of a cube with a side length of 5 cm?

A) 25 cubic cm B) 75 cubic cm C) 125 cubic cm D) 150 cubic cm

18. A cuboid has dimensions 10 cm x 5 cm x 4 cm. What is its surface area?

A) 110 sq cm B) 160 sq cm C) 220 sq cm D) 240 sq cm

19. What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm? (Use pi = 22/7)

A) 154 cubic cm B) 1540 cubic cm C) 3080 cubic cm D) 4620 cubic cm

20. A cone has a radius of 3 cm and a height of 4 cm. What is its slant height?

A) 3 cm B) 4 cm C) 5 cm D) 7 cm

21. If a coin is tossed twice, what is the probability of getting at least one head?

A) 1/4 B) 1/2 C) 3/4 D) 1

22. A die is rolled. What is the probability of getting an even number?

A) 1/6 B) 1/3 C) 1/2 D) 2/3

23. In a bag, there are 5 red balls and 7 blue balls. If one ball is drawn at random, what is the probability that it is a blue ball?

A) 5/12 B) 7/12 C) 5/7 D) 7/5

24. Two dice are rolled simultaneously. What is the probability of getting a sum of 7?

A) 1/36 B) 1/12 C) 1/6 D) 5/36

25. A card is drawn from a pack of 52 cards. What is the probability of drawing an ace?

A) 1/13 B) 1/26 C) 1/52 D) 4/13

26. What is the probability of getting exactly 2 heads when a coin is tossed 3 times?

A) 1/8 B) 3/8 C) 1/2 D) 5/8

27. In how many ways can the letters of the word 'APPLE' be arranged?

A) 60 B) 120 C) 240 D) 720

28. How many different permutations of the letters of the word 'SUCCESS' are there?

A) 1260 B) 2520 C) 5040 D) 7560

29. In how many ways can a committee of 3 people be selected from a group of 5 people?

A) 5 B) 10 C) 15 D) 20

30. How many ways can 4 different books be arranged on a shelf?

A) 4 B) 8 C) 16 D) 24

31. In how many ways can the letters of the word 'MADAM' be arranged?

A) 30 B) 60 C) 120 D) 240

32. A father and son, along with 4 other people, are to be seated in a row. In how many ways can they be seated if the father and son must sit together?

A) 120 B) 240 C) 360 D) 720

33. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?

A) 15 B) 60 C) 120 D) 240

34. In how many ways can the letters of the word 'ENGINEERING' be arranged?

A) 11! / (3! * 3! * 2!) B) 11! / (3! * 2! * 2!) C) 11! / (4! * 3! * 2!) D) 11! / (4! * 3! * 3!)

35. What is the probability that a randomly chosen 3-digit number is divisible by 5?

A) 1/5 B) 1/10 C) 1/2 D) 9/10

36. A committee of 5 members is to be formed from 6 men and 4 women. What is the probability that the committee has exactly 3 men?

A) 15/21 B) 10/21 C) 5/21 D) 1/21

37. What is the probability of selecting a vowel from the word 'COMPUTER'?

A) 1/4 B) 3/8 C) 5/8 D) 1/8

38. How many ways are there to arrange the letters in the word 'BANANA'?

A) 60 B) 120 C) 360 D) 720

39. A shopkeeper mixes two types of tea, one at Rs. 80/kg and another at Rs. 120/kg. In what ratio should he mix them to obtain a mixture worth Rs. 90/kg?

A) 3:1 B) 1:3 C) 2:1 D) 1:2

40. The radius of a circle is increased by 50%. By what percentage does its area increase?

A) 50% B) 100% C) 125% D) 150%

41. A and B enter into partnership investing Rs. 16,000 and Rs. 12,000 respectively. A invests for 8 months and B for 6 months. If the total profit is Rs. 38,000, what is A's share?

A) Rs. 16,000 B) Rs. 18,000 C) Rs. 20,000 D) Rs. 22,000

42. A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water are added to the mixture, the ratio becomes 4:5. What is the quantity of alcohol in the original mixture?

A) 4 liters B) 8 liters C) 12 liters D) 20 liters

43. What is the perimeter of a triangle with sides 5 cm, 12 cm, and 13 cm?

A) 25 cm B) 30 cm C) 35 cm D) 40 cm

44. What is the probability of getting a sum of 5 when two dice are rolled?

A) 1/12 B) 1/9 C) 5/36 D) 1/6

45. In how many ways can 5 people be arranged in a circle?

A) 24 B) 60 C) 120 D) 720

46. The length of a rectangle is twice its width. If the area of the rectangle is 200 sq cm, what is its perimeter?

A) 20 cm B) 40 cm C) 60 cm D) 80 cm

47. A and B invest Rs. 40,000 and Rs. 60,000 respectively in a business. A invests for 12 months and B for 8 months. If the total profit is Rs. 52,000, what is B's share?

A) Rs. 20,000 B) Rs. 24,000 C) Rs. 28,000 D) Rs. 32,000

48. A mixture contains milk and water in the ratio 7:5. If 15 liters of water are removed, the ratio becomes 7:3. What is the quantity of milk in the original mixture?

A) 7 liters B) 21 liters C) 35 liters D) 49 liters

49. What is the probability of selecting a consonant from the word 'EQUATION'?

A) 1/4 B) 3/8 C) 5/8 D) 1/8

50. How many 4-letter words can be formed using the letters of the word 'DATING' if repetition of letters is not allowed?

A) 120 B) 240 C) 360 D) 5040

Partnership, Mixture and Alligation, Mensuration, Probability, Permutation and Combination - Online Test

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